Water level is maintained in a cylindrical vessel placed on horizontal floor up to a…

PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Water level is maintained in a cylindrical vessel placed on horizontal floor up to a fixed height

H

. A tiny hole of area

A

is punched in the side wall at a height from the bottom of the vessel equal to

y

. The emerging stream strikes the ground at a horizontal distance

x

(

y \neq 0

) from cylinder. To maintain the level in the vessel at

H

, the rate (volume/sec) of addition of water is

A\sqrt{\frac{2g(H-y)}{n}}

. Find

n